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Finding the Third Proportional to 541,488 and 1,188,000

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Solution

The third proportional to 541,488 and 1,188,000 is: 2,606,417.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,488 : 1,188,000 = 1,188,000 : x
  2. Step 2: Convert to fraction form
    541,488/1,188,000 = 1,188,000/x
  3. Step 3: Cross multiply
    541,488x = 1,188,000 × 1,188,000
  4. Step 4: Simplify right side
    541,488x = 1,411,344,000,000
  5. Step 5: Solve for x
    x = 1,411,344,000,000/541,488
  6. Step 6: Final answer
    x = 2,606,417.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.